# Is this statement about plots in statistics true?

I'm doing a project. But I've gotten so many different answers and numbers on the internet. Minitab, Excel, and a few of those smart online calculators all gave me different answers on the quartiles by a few decimal places with the exact same data. Mostly in the tens decimal place.

But the main thing is if my paragraph explaining my graph is true? I'm mainly confused on the outliers and whiskers. My math should be right (again, different answers), but if those are indeed my whiskers, I don't have any outliers since my data is within that range?

A boxplot gives you information about the shape, median, and quartiles of your distribution. In figure 2, the shape is just slightly skewed left, the first quartile is 66.88, the median is 68.2, and the third quartile is 69.55, the lower whisker is 63.4, and the upper whisker is 71.9. To calculate any outliers you must first find the inner quartile range or IQR, which is Quartile 3- Quartile 1. My IQR is 2.67. To find lower outliers you use Quartile 1-(1.5*IQR). Which in my case is 62.88. To calculate any upper outliers you use Quartile 3+(1.5*IQR). Which in my case is 73.56. My boxplot doesn’t have any outliers since my whiskers are within this range.

I'm so confused with everything online.

About ten (slightly) different definitions of quartile are in common usage in various computer programs and textbooks. In particular, there are different ways to treat gaps and ties. For small $n$ these differences can result in noticeably different boxplots, and I don't think boxplots should be used for sample sizes less than about 15 or 20. (The idea of using quartiles is to partition sorted data into four approximately equal 'chunks'. But if $n = 9$ or $13,$ compromises must be made.)
Note: If you want to explore technical differences among quantile rules a good place to start is with the page in R statistical software that is summoned by typing ? quantile in the Session Window. (Nine different commonly used rules are detailed, along with notes about which software uses which one. Another issue is Tukey's 'fourths' often used in making boxplots; they are similar to quartiles, but are not really quartiles.)